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Finding the Third Proportional to 177,001,353 and 277,049,808

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Solution

The third proportional to 177,001,353 and 277,049,808 is: 433,649,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,001,353 : 277,049,808 = 277,049,808 : x
  2. Step 2: Convert to fraction form
    177,001,353/277,049,808 = 277,049,808/x
  3. Step 3: Cross multiply
    177,001,353x = 277,049,808 × 277,049,808
  4. Step 4: Simplify right side
    177,001,353x = 76,756,596,112,836,864
  5. Step 5: Solve for x
    x = 76,756,596,112,836,864/177,001,353
  6. Step 6: Final answer
    x = 433,649,770.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.